Some prices would likely rise, but not uniformly and new equilibria are very hard to predict generally, nigh-impossible without specifying a bunch of implementation specifics (including where the money comes from, how it's distributed, what limits there are on qualifying or using the money, and how it's indexed to change over time).

I suspect we'd redefine poverty such that roughly the same percentage of people would be in poverty, but it would be a (slightly) different set of individuals, and likely a much more pleasant poverty than without. Much like has happened dozens of times already in modern civilization. I call it "progress".